Use the discriminate to determine the solutions

Question

I need help solving it in discriminate form 2x²+5x=12

Answer 1

Hi Geraldine,

to use the discriminate we need to identify the coefficient in front of the x ^2 term which is 2.

next te coefficient of the b term x is 5

and finally the coefficient of the c term is -12

because we put the quadratic in the format of

a^2 + b + c =0

the discriminate is determined by

plugging the coefficients into

b^2 - 4 ac

so

5^2 - 4 (2) (-12) = 25 + 96 = 121

which is a perfect square of 11 so our roots are unequal and rational.

I hope this helps